It has been a long-standing problem in quantum integrability whether Reshetikhin's condition, which provides a three-local conserved charge, implies the existence of sufficient many mutually commuting local charges that guarantee integrability. In an attempt to answer this question, I reveal the discrete conformal algebra hidden in Yang-Baxter integrable 1D systems, and propose a practical...
Multiphase flow in a porous media is a widespread phenomenon with significance spanning from daily life to cutting-edge scientific fields and has hence been studied for centuries. Notable examples in geophysics include environmental cleanup, CO2 sequestration, and water purification. When one fluid phase displaces another inside a porous medium, intricate dynamics plays out across diverse...
Topological ideas have come to the forefront of condensed matter physics
in recent decades, since the discovery and subsequent explanation of the
integer quantum Hall effect. Today, these ideas are showing up in various
subfields, and play important roles in guiding future theoretical
and experimental research.
A more recent direction in this field is to couple topological ideas
with...
The diffusion of spin-waves or magnons in magnetic insulators is a promising candidate for sending signals in spintronic-based logical units that can outperform classical electronic current-based devices.
We present numerical simulations of magnon transport at finite temperature and its dependence on the material thickness in antiferromagnetic (AFM) insulators with material parameters from...